Comparison of power for the D'Agostino and the Wilk‐Shapiro test of normality for small and moderate samples

J. A. Theune

Statistica Neerlandica, 1973, vol. 27, issue 4, 163-168

Abstract: Summary Results are given of a sampling study of the sensitivities of two statistical procedures viz. the D'Agostino and the Wilk‐Shapiro test of normality. Four alternative distributions were considered. For 5 small sample sizes the test of D'Agostino seems to be clearly dominated by the Wilk‐Shapiro test for each of the 4 alternatives. For sample size n= 100 the recently developed approximate Wilk‐Shapiro test seems to dominate the D'Agostino test for the U‐shaped distribution; however, little can be said about the difference in power of these two tests for the other 3 alternatives. Random samples generated from the standard normal distribution showed the degree of approximation of the percentiles of each test procedure to be good.

Date: 1973
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